Question

If a real function \( f(t) \) has a Fourier Transform \( F(\omega) \), then the Fourier transform of \( f(t) - f(-t) \) is:

• A. 0
• B. real
• C. real and odd
• D. imaginary

Hint:

Odd time-domain signals have imaginary Fourier Transforms.

Answer 1

The Correct Option is D

\( f(t) - f(-t) \) is an odd function. Fourier Transform of an odd real function is purely imaginary and odd.